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- Title
Approximation of Generalized Biaxisymmetric Potentials in L<sup>β</sup> -Norm.
- Authors
Kumar, Devendra
- Abstract
Let F be a real valued generalized biaxisymmetric potential (GBASP) in Lβ on SR, the open sphere of radius R about the origin. In this paper we have obtained the necessary and sufficient conditions on the rate of decrease of a sequence of best harmonic polynomial approximates to F such that F is harmonically continues as an entire function GBASP and determine their (p, q)- order and generalized (p, q)-type with respect to proximate order ρ(r).
- Subjects
INTEGRAL functions; POLYNOMIAL approximation; JACOBI polynomials; APPROXIMATION error; POLYNOMIALS
- Publication
European Journal of Pure & Applied Mathematics, 2023, Vol 16, Issue 3, p1508
- ISSN
1307-5543
- Publication type
Article
- DOI
10.29020/nybg.ejpam.v16i3.4815